The success of the Gross–Pitaevskii and Bogoliubov theories in the description of large
systems of interacting bosons led to a substantial effort into rigorously deriving these …

In this work, we study the quantum fluctuation dynamics in a Bose gas on a torus Λ=(LT) 3
that exhibits Bose–Einstein condensation, beyond the leading order Hartree–Fock …

We investigate the semiclassical limit from the semirelativistic Hartree–Fock equation
describing the time evolution of a system of fermions in the mean-field regime with a …

We consider a system of p species of bosons, each of which consists of N 1, N 2,…, N p
particles. The bosons are in three dimensions with interactions via an interaction potential V …

We consider interacting N-Bosons in three dimensions. It is known that the difference
between the many-body Schrödinger evolution in the mean-field regime and the …

In this work, we investigate the mean-field limit of a model consisting of m⩾ 1 tracer particles,
coupled to an interacting boson field. We assume the mass of the tracer particles and the …

In this thesis, I intend to study the quantum fluctuation dynamics in a Bose gas on a torus
Λ=(L𝕋) ³ that exhibits Bose-Einstein condensation, beyond the leading order Hartree-Fock …